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Normally Hyperbolic Invariant Laminations and diffusive behaviour for the generalized Arnold example away from resonances
Hyperbolic Invariant Laminations generalized Arnold away from resonances
2015/9/25
In this paper we study existence of Normally Hyperbolic Invariant Laminations (NHIL) for a nearly integrable system given by the product of the pendulum and the rotator perturbed with a small coupling...
Asymptotic behaviour of the doubly nonlinear equation $u_t=Δ_p u^m$ on bounded domains
doubly nonlinear equation slow di usion asymptotic behaviour self-similar solution convergence rates
2012/6/29
We study the homogeneous Dirichlet problem for the doubly nonlinear equation $u_t = \Delta_p u^m$, where $p>1,\ m>0$ posed in a bounded domain in $\mathbb{R}^N$ with homogeneous boundary conditions an...
Asymptotic behaviour of first passage time distributions for Levy processes
Levy processes first passage time distribution local limit theorems fluctuation theory
2011/9/19
Abstract: Let $X$ be a real valued L\'evy process that is in the domain of attraction of a stable law without centering with norming function $c.$ As an analogue of the random walk results in \cite{vw...
Large scale behaviour of the spatial Lambda-Fleming-Viot process
spatial Lambda-Fleming-Viot process Large scale behaviour Probability
2011/9/16
Abstract: We consider the spatial Lambda-Fleming-Viot process model for frequencies of genetic types in a population living in R^d, in the special case in which there are just two types of individual,...
Asymptotic behaviour of rational curves
Asymptotic behaviour rational curves Algebraic Geometry
2011/9/15
Abstract: We investigate the asympotic behaviour of the moduli space of morphisms from the rational curve to a given variety when the degree becomes large. One of the crucial tools is the homogeneous ...
Periodic long-time behaviour for an approximate model of nematic polymers
Periodic long-time behaviour nematic polymers Analysis of PDEs
2011/9/14
Abstract: We study the long-time behaviour of a nonlinear Fokker-Planck equation, which models the evolution of rigid polymers in a given flow, after a closure approximation. The aim of this work is t...
Local and global behaviour of nonlinear equations with natural growth terms
Quasilinear equations natural growth terms Wolff potentials discrete Carleson measures
2011/9/5
Abstract: This paper concerns a study of the pointwise behaviour of positive solutions to certain quasi-linear elliptic equations with natural growth terms, under minimal regularity assumptions on the...
A method for determining the mod-$2^k$ behaviour of recursive sequences, with applications to subgroup counting
Polynomial recurrences symbolic summation subgroup numbers free subgroup numbers Catalan numbers
2011/9/1
Abstract: We present a method to obtain congruences modulo powers of 2 for sequences given by recurrences of finite depth with polynomial coefficients. We apply this method to Catalan numbers, Fu\ss-C...
Poincare series for plane curve singularities and their behaviour under projections
Curve singularity Alexander polynomial Poincare series value semigroup Grothendieck ring of varieties
2011/8/26
Abstract: Our purpose is to investigate all defined Poincar\'e series associated with multi-index filtrations and value semigroups of curve singularities---not necessarily complex---with regard to the...
On the behaviour of strong semistability in geometric deformations
semistable vector bundles, equicharacteristic deformation
2011/8/25
Abstract: Let $Y \to B$ be a relative smooth projective curve over an affine integral base scheme $B$ of positive characteristic. We provide for all prime characteristics example classes of vector bun...
Effects of turbulent transfer on the critical behaviour
Effects of turbulent transfer critical behaviour
2010/12/28
Critical behaviour of two systems, subjected to the turbulent mixing,is studied by means of the field theoretic renormalization group. The first system,described by the equilibrium model A, correspond...
Behaviour near extinction for the Fast Diffusion Equation on bounded domains
Nonlinear evolution singular parabolic fast di usion Harnack asymptotics
2011/1/18
We consider the Fast Di usion Equation ut = um posed in a bounded smooth domain
Rd with homogeneous Dirichlet conditions; the exponent range is ms = (d 2)+=(d + 2) < m < 1.It is known...
Asymptotic behaviour of a cylindrical elastic structure periodically reinforced along identical fibers
cylindrical elastic structure identical fibers
2010/11/23
We describe the asymptotic behaviour of a cylindrical elastic body, reinforced along identical $\epsilon$-periodically distributed fibers of size $r_{\epsilon}$, with $0 < r_{\epsilon} < \epsilon$, fi...
The Stationary Behaviour of Fluid Limits of Reversible Processes is Concentrated on Stationary Points
Stationary Behaviour Fluid Limits of Reversible Processes Stationary Points
2010/12/13
Assume that a stochastic processes can be approximated, when some scale parameter
gets large, by a fluid limit (also called “mean field limit”, or “hydrodynamic limit”). A
common practice, often cal...
The local quantization behaviour of absolutely continuous probabilities
Vector quantization probability of Voronoi cells inertia of Voronoi cells
2010/12/13
For a large class of absolutely continuous probabilities P it is shown that, for r > 0, for n-optimal Lr(P)-codebooks n, and any Voronoi partition Vn,a with respect to n the local probabilities P(Vn...